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Course Design Guide
College of Humanities and Sciences
MTH/221 Version 2
Discrete Math for Information Technology
Copyright © 2013 by University of Phoenix. All rights reserved.
Course Description
Discrete mathematics is of direct importance to the fields of Computer Science and Information Technology. This branch of mathematics includes studying areas such as sophisticated forms of counting (combinatorics, etc.), set theory, logic, relations, graph theory, and analysis of algorithms. This course is intended to provide students with an understanding of these areas and their use in the field of Information Technology.
Policies
Faculty and students will be held responsible for understanding and adhering to all policies contained within the following two documents:
· University policies: You must be logged into the student website to view this document.
· Instructor policies: This document is posted in the Course Materials forum.
University policies are subject to change. Be sure to read the policies at the beginning of each class. Policies may be slightly different depending on the modality in which you attend class. If you have recently changed modalities, read the policies governing your current class modality.
Course Materials
Rosen, K. H. (2012). Discrete mathematics and its applications. (7th ed.). New York, NY: McGraw-Hill.
All electronic materials are available on the student website.
Assignment Breakdown
Week One
Individual Assignment: Week One Connect Exercises
20
Week Two
Individual Assignment: Week Two Connect Exercises
20
Week Three
Individual Assignment: Week Three Connect Exercises
20
Week Four
Individual Assignment: Week Four Connect Exercises
20
Week Five
Individual Assignment: Case Study Applications Paper
60
Individual Assignment: Final Examination
60
All Weeks
Discussion Questions
50
Participation
50
Point Total
300
Week One: Combinatorics
Details
Due
Points
Objectives
1.1 Apply basic enumeration techniques.
1.2 Apply basic permutation and combination techniques.
1.3 Apply introductory probability techniques.
Reading
Read Sections 6.1 and 6.3-6.5 in Ch. 6 of Discrete Mathematics and its Applications.
Reading
Read Sections 7.1 in Ch. 7 of Discrete Mathematics and its Applications.
Video
How to Setup Connect
Watch the How to Setup Connect Video.
Video
Week One Videos
Watch the Week One Videos.
Participation
Discussion Questions: Two DQ’s will be posted in the main classroom. Respond to each of the discussion questions a minimum of four times. Be sure to use substantive responses. See Instructor Policies and assignments for more details.
Due by Monday 11:59PM
10
Discussion Questions
Respond to weekly discussion questions.
Due by Monday 11:59PM
10
Nongraded Activities and Preparation
PhoenixConnect
Follow the Math Help Community in PhoenixConnect. The focus of the community is to help students succeed in their math courses. Post questions and receive answers from other students, faculty, and staff from the Center for Mathematics Excellence.
Nongraded Activities and Preparation
Live Math Tutoring
If you need help with concepts or homework problems, join a Live Math Tutoring session by clicking the Live Math Tutoring link under Useful Links on the Materials tab of the student website.
In the session, get familiar with the whiteboard environment and the tools used in the whiteboard. Discuss any questions you may have with a tutor.
Note. Tutors can help students with homework exercises.
Individual
Week One Connect Exercises
Resource: How to Use Connect - Students
Complete the Week One Connect Exercises. There is a link to Connect on the Materials page of the student website.
Due by Monday 11:59PM
20
Week Two: Logic & Set Theory; Boolean Algebra; Relations & Functions
Details
Due
Points
Objectives
2
2.1 Use truth tables for propositional logic.
2.2 Simplify assertions and compound statements in first-order logic.
2.3 Apply basic set-theoretic concepts.
2.4 Use a Venn Diagram to visualize set relationships.
2.5 Differentiate between relations and functions.
2.6 Apply the basic concepts of Boolean algebra.
Reading
Read Sections 1.1–1.3 in Ch. 1 of Discrete Mathematics and its Applications.
Reading
Read Sections 2.1–2.3 in Ch. 2 of Discrete Mathematics and its Applications.
Reading
Read Section 9.1 in Ch. 9 of Discrete Mathematics and its Applications.
Reading
Read Sections 12.1–12.3 in Ch. 12 of Discrete Mathematics and its Applications.
Video
Week Two Videos
Watch the Week Two Videos.
Participation
Participate in class discussion.
Due by Monday 11:59PM
10
Discussion Questions
Discussion Questions: Two DQ’s will be posted in the main classroom. Respond to each of the discussion questions a minimum of four times. Be sure to use substantive responses. See Instructor Policies and assignments for more details.
Due by Monday 11:59PM
10
Individual
Week Two Connect Exercises
Complete the Week Two Connect Exercises.
Due by Monday 11:59PM
20
Week Three: Algorithmic Concepts
Details
Due
Points
Objectives
3
3.1 Apply the basic concepts of algorithmic analysis.
3.2 Apply the introductory principles of mathematical induction.
3.3 Solve problems of iteration and recursion.
Reading
Read Ch. 3 of Discrete Mathematics and its Applications.
Reading
Read Section 5.1 in Ch. 5 of Discrete Mathematics and its Applications.
Reading
Read the Introduction and Recursively Defined Function in Section 5.3 in Ch. 5 of Discrete Mathematics and its Applications.
Reading
Read Section 5.4 in Ch. 5 of Discrete Mathematics and its Applications.
Video
Week Three Videos
Watch Week Three Videos.
Participation
Participate in class discussion.
Due by Monday 11:59PM
10
Discussion Questions
Discussion Questions: Two DQ’s will be posted in the main classroom. Respond to each of the discussion questions a minimum of four times. Be sure to use substantive responses. See Instructor Policies and assignments for more details.
Due by Monday 11:59PM
10
Individual
Week Three Connect Exercises
Complete the Week Three Connect Exercises.
Due by Monday 11:59PM
20
Week Four: Graph Theory and Trees
Details
Due
Points
Objectives
4
4.1 Apply properties of graphs.
4.2 Apply properties of trees.
Reading
Read Sections 10.1–10.6 in Ch. 10 of Discrete Mathematics and its Applications.
Reading
Read Sections 11.1–11.3 in Ch. 11 of Discrete Mathematics and its Applications.
Video
Week Four Videos
Watchthe Week Four Videos.
Participation
Participate in class discussion.
Due by Monday 11:59PM
10
Discussion Questions
Discussion Questions: Two DQ’s will be posted in the main classroom. Respond to each of the discussion questions a minimum of four times. Be sure to use substantive responses. See Instructor Policies and assignments for more details.
Due by Monday 11:59PM
10
Individual
Week Four Connect Exercises
Complete the Week Four Connect Exercises.
Due by Monday 11:59PM
20
Week Five: Applications of Discrete Mathematics
Details
Due
Points
Objectives
5
5.1 Use discrete mathematics to analyze application problems.
Reading
Read Coding Theory, Food Webs, and Network Flows Case Studies for your Case Study Applications Paper.
Participation
Participate in class discussion.
Due by Monday 11:59PM
10
Discussion Questions
Discussion Questions: Two DQ’s will be posted in the main classroom. Respond to each of the discussion questions a minimum of four times. Be sure to use substantive responses. See Instructor Policies and assignments for more details.
Due by Monday 11:59PM
10
Individual
Case Study Applications Paper
Choose one of the following Case Studies:
· Food Webs
· Coding Theory
· Network Flows
Write a 750- to 1,250-word paper in which you complete one of the following options:
Option 1: Food Webs Case Study
Explain the theory in your own words based on the case study and suggested readings.
Include the following in your explanation:
· Competition
· Food Webs
· Boxicity
· Trophic Status
Give an example of how this could be applied in other real-world applications.
Format your paper according to APA guidelines. All work must be properly cited and referenced.
Option 2: Coding Theory Case Study
Explain the theory in your own words based on the case study and suggested readings.
Include the following in your explanation:
· Error Detecting Codes
· Error Correcting Codes
· Hamming Distance
· Perfect Codes
· Generator Matrices
· Parity Check Matrices
· Hamming Codes
Give an example of how this could be applied in other real-world applications.
Format your paper according to APA guidelines. All work must be properly cited and referenced.
Option 3: Network Flows Case Study
Explain the solutions for examples 1, 2 and 3 from the text.
Explain the theory developed including capacitated s,t graphs and the lexicographic ordering rule based on the case study and suggested readings.
Give an example of how this could be applied in other real-world applications.
Format your paper according to APA guidelines. All work must be properly cited and referenced.
Due by Monday 11:59PM
60
Individual
Final Examination
Complete the Final Examination in Connect.
Due by Monday 11:59PM
60
Copyright
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